20306221351416 has 576 divisors, whose sum is σ = 77191005265920. Its totient is φ = 4656936430080.

The previous prime is 20306221351309. The next prime is 20306221351489. The reversal of 20306221351416 is 61415312260302.

20306221351416 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 622 + 1 + 3 + 5 + 14 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37859785 + ... + 38392391.

It is an arithmetic number, because the mean of its divisors is an integer number (134012161920).

Almost surely, 2^{20306221351416} is an apocalyptic number.

20306221351416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20306221351416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38595502632960).

20306221351416 is an abundant number, since it is smaller than the sum of its proper divisors (56884783914504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20306221351416 is a wasteful number, since it uses less digits than its factorization.

20306221351416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532696 (or 532666 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20306221351416 in words is "twenty trillion, three hundred six billion, two hundred twenty-one million, three hundred fifty-one thousand, four hundred sixteen".